Determinants of two kinds of matrices whose elements involve sine functions

Abstract

The presented paper is strictly connected, among others, with the paper On the sum of some alternating series, Comp. Math. Appl. (2011), written by Wituła and Słota. A problem concerning the form of determinants formulated in the cited paper is solved here. Next, the obtained result is adapted to solve some system of linear equations and the description of the sum of alternating series.

Keywords

• determinant
• sine matrix
• alternating series
• fourier series
• 11c20
• 15a06
• 42a05
• 40a05